Questions in mathematics

Questions in mathematics

📝 Answered - $2 x^2+2 x-4>\frac{1}{4}\left(x^2+4\right)$

📝 Answered - Solve the following: [tex]313 / 16 \div 31 / 4[/tex]

📝 Answered - Factor: [tex]x^2+2 x-48[/tex] A. [tex](x+2)(x-8)[/tex] B. [tex](x-8)(x+6)[/tex] C. [tex](x+8)(x-2)[/tex] D. [tex](x+8)(x-6)[/tex]

📝 Answered - Identify an equation in point-slope form for the line parallel to [tex]y=-\frac{2}{3} x+8[/tex] that passes through (4,-5). A. [tex]y+5=-\frac{2}{3}(x-4)[/tex] B. [tex]y+5=\frac{3}{2}(x-4)[/tex] C. [tex]y-5=-\frac{2}{3}(x+4)[/tex] D. [tex]y-4=\frac{2}{3}(x+5)[/tex]

📝 Answered - Solve [tex]\frac{3-5 m}{-6+10 m}=\frac{7+19 k}{4 k}[/tex]

📝 Answered - Find the value of each expression when [tex]x=2[/tex]: [tex]x^2+5=[/tex] $\square$ [tex](x+5)^2=[/tex] $\square$ [tex]x^2+2x+5=[/tex] $\square$

📝 Answered - An officer has R$. $10,00,000$. He planned to deposit the amount in Bank A but his senior officer suggests him to deposit it in Bank B. | Bank-A | Bank-B | |---|---| | Compound interest Annually $-12 \% p.a. | Compound Interest Semiannually $-10 \% p.a. | (a) Which formula can be used for finding compound interest semiannually? (b) If the officer chooses the Bank B for 3 years, find the interest he gets. (c) If he had not followed his senior officer's suggestion, what would be his profit or loss?

📝 Answered - A state legislator wants to determine whether his voters' performance rating $(0-100)$ has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the $95 \%$ confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year. | Rating (last year) | 74 | 69 | 70 | 89 | 44 | 58 | 45 | 73 | 82 | 83 | | :----------------- | :- | :- | :- | :- | :- | :- | :- | :- | :- | :- | | Rating (this year) | 86 | 57 | 72 | 70 | 63 | 83 | 71 | 92 | 52 | 55 | Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

📝 Answered - $\square=\frac{2}{12}$ of 600

📝 Answered - Which statement is FALSE? A. People use math skills every day. B. There are numerous ways to incorporate math into the childhood curriculum. C. Math is involved in any profession that requires gathering and analyzing data. D. Unless you plan to go into a math-related career, the study of math is not very useful.